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Finding the Fourth Proportional to 7,798.22, 11,700.58 and 3,418.82

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Solution

The fourth proportional to 7,798.22, 11,700.58 and 3,418.82 is: 5,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.22 : 11,700.58 = 3,418.82 : x
  2. Step 2: Convert to fraction form
    7,798.22/11,700.58 = 3,418.82/x
  3. Step 3: Cross multiply
    7,798.22x = 11,700.58 × 3,418.82
  4. Step 4: Simplify right side
    7,798.22x = 40,002,176.92
  5. Step 5: Solve for x
    x = 40,002,176.92/7,798.22
  6. Step 6: Final answer
    x = 5,129.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.